20 citations · 28 across the 5 of their papers we have counts for
7 papers
Large time behaviour for the heat equation on moments and decay rates
Luciano Abadias, Jorge González-Camus, Pedro J. Miana +1
The paper is devoted to understand the large time behaviour and decay of the solution of the discrete heat equation in the one dimensional mesh on spaces, and its ana…
Long time asymptotics of large data in the Kadomtsev-Petviashvili models
Argenis J. Mendez, Claudio Muñoz, Felipe Poblete +1
We consider the Kadomtsev-Petviashvili (KP) equations posed on . For both equations, we provide sequential in time asymptotic descriptions of solutions, of arbitraril…
Non-local in time telegraph equations and very slowly growing variances
Francisco Alegría, Juan C. Pozo
In this paper we consider a class of non-local in time telegraph equations. Recently, it has been proved that the fundamental solutions of such equations can be interpreted as the…
On local energy decay for large solutions of the Zakharov-Kuznetsov equation
Argenis Méndez, Claudio Muñoz, Felipe Poblete +1
We consider the Zakharov-Kutznesov (ZK) equation posed in , with and . Both equations are globally well-posed in . In this paper, we prove l…
Fundamental Solutions and Decay of Fully Non-local Problems
Juan C. Pozo, Vicente Vergara
In this paper, we study a fully non-local reaction-diffusion equation which is non-local both in time and space. We apply subordination principles to construct the fundamental solu…
The scattering problem for the Boussinesq system in the energy space
Chulkwang Kwak, Claudio Muñoz, Felipe Poblete +1
The Boussinesq system is a 4-parameter set of equations posed in , originally derived by Bona, Chen and Saut as first order 2-wave approxim…
Scattering in the energy space for Boussinesq equations
Claudio Muñoz, Felipe Poblete, Juan C. Pozo
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly prope…